A fair die is tossed three times. Find the probability of getting three 4's.

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A:

Q: find the probabi lity of getting 3 on the 2nd olie given the Sum is 8?

A:

Q: You toss a coin 3 times. What is the probability that you get 2 heads? Write your answer as a…

A: Let  H=headT=tailif we toss a coin 3 times than the possible outcomes areHHH, HHT, HTH, THH,HTT,…

Q: A die is rolled 12 times. Find the probability of rolling no more than 3 threes

A: From the given information, a die is rolled 12 times.The outcomes for the die are 1, 2, 3, 4, 5 and…

Q: Roll a die 3 times. Find the probability of getting at least one 6.

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Q: Two dice are rolled. Determine the probability of rolling a sum of 6 or doubles.

A: The sample space of the 36 possible outcomes for a pair of fair dice is,

Q: Five dice are thrown once; find the probability of getting total of 5?

A: Solution: From the given information, five dice are thrown.

Q: Suppose you roll a red die where each face represents a number from 1 to 6. Determine the…

A: When a die is rolled n(S)=6 S={1,2,3,4,5,6}

Q: A die is thrown 5 times. Z= Number of Even numbers. Find the probability of getting exactly 3 even…

A: Givena die is thrown 5 timesn=5probability of getting even number =36=0.5          (since there are…

Q: Madison usually receives 4 letters in the mail each week. Find the probability of receiving 8…

A: Given that  Madison usually receives 4 letters in the mail each week. We have to Find the…

Q: A fair coin is tossed 3 times. Find the probability of tossing 3 tails in a row,  answer as a…

A: Let H denote heads Let T denote tails Let S be sample set   S={ HHH, HHT, HTH, THH,       TTT, TTH,…

Q: Find the probability that a child flipping an old coin gets the second head on the 8th flip.

A: Here, x=8, k=2 and p=0.5. The general formula for the negative binomial distribution is,…

Q: A coin is tossed 12 times. Y= Number of Tails .Find the probability of getting (i) 3 tails (ii) at…

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Q: A coin is tossed 10 times. Find the probability of tossing five or six heads.

A: Given that a coin is tossed 10 times. Note that probability for getting one head in one toss p is…

Q: probability of getting 5 heads.

A: A coin is tossed 9 times.

Q: Roll a pair of dice 10 times. Determine the probability of having exactly

A: Given that the pair of dice is rolled 10 times. When rolling pair of dice, the possible outcomes for…

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: When rolling a pair of dice, find the probability of getting a sum of 5

A: Given : Sample space of rolling a pair of dice : S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: Find the probability of obtaining an even number in one roll of a die.

A:

Q: the probability of getting “3”  more than once.

A: Let X be the random variable such that the number of events getting “3”  on die.N: Total number of…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: A baseball player gets 15 hits in 50 times at bat. The probability of the batter getting a hit is

A: Given that the baseball player gets 15 hits in 50 times at bat.

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: Find the probability of getting a 1, 5, or 6 when you roll a standard six-sided die

A: When we roll a six-sided die then we can get 6 possible outcomes.  We can get 1, 5 or 6 in 3 ways.…

Q: Flip a fair coin 180 times. Estimate the probability of obtaining more than 120 heads.

A: From the provided information, Sample size (n) = 180 and The probability of getting a head = 1/2 =…

Q: Marisa will flip a coin 4 times. What is the probability she will land on head every time?

A: When a coin is tossed the probability of getting heads =1/2 Marisa will flip a coin 4 times P(she…

Q: Find the probability that a child flipping an old coin gets the second head on the 6th flip.

A: Consider that tossing coin is a trials . which are independent .  Let's take it as a success  if a…

Q: Find the probability of getting three of a kind when playing five card poker

A: Given Playing 5 card poker

Q: Cai tosses four coins. Determine the probability that they are all tails

A: When a fair coin is tossed the probability of getting heads is 1/2 and probability of getting tails…

Q: A die is being thrown twice. Find the probability of getting 5 and 1 in each respective throw

A: if we throw a die twice than the total possible out comes is 36and the no.of possible out comes of…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number…

A: From the provided information, A fair six-sided die is rolled twice. P (rolling 3) = 1/6 P (rolling…

Q: Suppose a jar contains 17 red marbles and 22 blue marbles. If 2 marbles are randomly chosen from the…

A: There are 17 red marbles and 22 blue marbles. Thus, there are 39 marbles in total.

Q: A bag contains 2 cherry, 3 lemon, 4 grape, and 5 watermelon candies. You reach in and grab a handful…

A: Total number of cherries = 2 The probability of getting a cherry = 2/14 = 0.1429 n = 3

Q: Two dice are thrown. Determine the probability of getting 4 points.

A:

Q: A die is rolled 10 times. Find the probability of rolling no more than 4 fives.

A: Given: A die is rolled 10 times. Objective of this question is to find the probability of rolling no…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.